TSTP Solution File: SEU199+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU199+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:27:20 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   59 (   7 unt;   0 def)
%            Number of atoms       :  242 (  16 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  306 ( 123   ~; 118   |;  40   &)
%                                         (  11 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-3 aty)
%            Number of variables   :  126 ( 106   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f277,plain,
    $false,
    inference(avatar_sat_refutation,[],[f190,f196,f200,f276]) ).

fof(f276,plain,
    ( ~ spl14_1
    | ~ spl14_2
    | spl14_3 ),
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | ~ spl14_1
    | ~ spl14_2
    | spl14_3 ),
    inference(subsumption_resolution,[],[f271,f195]) ).

fof(f195,plain,
    ( ~ in(unordered_pair(unordered_pair(sK7(relation_rng_restriction(sK4,sK5),sK5),sK6(relation_rng_restriction(sK4,sK5),sK5)),singleton(sK7(relation_rng_restriction(sK4,sK5),sK5))),sK5)
    | spl14_3 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl14_3
  <=> in(unordered_pair(unordered_pair(sK7(relation_rng_restriction(sK4,sK5),sK5),sK6(relation_rng_restriction(sK4,sK5),sK5)),singleton(sK7(relation_rng_restriction(sK4,sK5),sK5))),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f271,plain,
    ( in(unordered_pair(unordered_pair(sK7(relation_rng_restriction(sK4,sK5),sK5),sK6(relation_rng_restriction(sK4,sK5),sK5)),singleton(sK7(relation_rng_restriction(sK4,sK5),sK5))),sK5)
    | ~ spl14_1
    | ~ spl14_2 ),
    inference(resolution,[],[f220,f185]) ).

fof(f185,plain,
    ( in(unordered_pair(unordered_pair(sK7(relation_rng_restriction(sK4,sK5),sK5),sK6(relation_rng_restriction(sK4,sK5),sK5)),singleton(sK7(relation_rng_restriction(sK4,sK5),sK5))),relation_rng_restriction(sK4,sK5))
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl14_1
  <=> in(unordered_pair(unordered_pair(sK7(relation_rng_restriction(sK4,sK5),sK5),sK6(relation_rng_restriction(sK4,sK5),sK5)),singleton(sK7(relation_rng_restriction(sK4,sK5),sK5))),relation_rng_restriction(sK4,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f220,plain,
    ( ! [X0,X1] :
        ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(sK4,sK5))
        | in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK5) )
    | ~ spl14_2 ),
    inference(subsumption_resolution,[],[f201,f115]) ).

fof(f115,plain,
    relation(sK5),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ~ subset(relation_rng_restriction(sK4,sK5),sK5)
    & relation(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f76,f77]) ).

fof(f77,plain,
    ( ? [X0,X1] :
        ( ~ subset(relation_rng_restriction(X0,X1),X1)
        & relation(X1) )
   => ( ~ subset(relation_rng_restriction(sK4,sK5),sK5)
      & relation(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ? [X0,X1] :
      ( ~ subset(relation_rng_restriction(X0,X1),X1)
      & relation(X1) ),
    inference(rectify,[],[f50]) ).

fof(f50,plain,
    ? [X1,X0] :
      ( ~ subset(relation_rng_restriction(X1,X0),X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ~ ! [X0,X1] :
        ( relation(X0)
       => subset(relation_rng_restriction(X1,X0),X0) ),
    inference(rectify,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ! [X1,X0] :
        ( relation(X1)
       => subset(relation_rng_restriction(X0,X1),X1) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ! [X1,X0] :
      ( relation(X1)
     => subset(relation_rng_restriction(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_relat_1) ).

fof(f201,plain,
    ( ! [X0,X1] :
        ( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK5)
        | ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(sK4,sK5))
        | ~ relation(sK5) )
    | ~ spl14_2 ),
    inference(resolution,[],[f188,f151]) ).

fof(f151,plain,
    ! [X0,X1,X6,X5] :
      ( in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
      | ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),relation_rng_restriction(X1,X0))
      | ~ relation(relation_rng_restriction(X1,X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f148]) ).

fof(f148,plain,
    ! [X2,X0,X1,X6,X5] :
      ( ~ relation(X2)
      | in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
      | ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X2)
      | relation_rng_restriction(X1,X0) != X2
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f132,f101,f101]) ).

fof(f101,plain,
    ! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f132,plain,
    ! [X2,X0,X1,X6,X5] :
      ( ~ relation(X2)
      | in(ordered_pair(X6,X5),X0)
      | ~ in(ordered_pair(X6,X5),X2)
      | relation_rng_restriction(X1,X0) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( relation_rng_restriction(X1,X0) = X2
              | ( ( ~ in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X2)
                  | ~ in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X0)
                  | ~ in(sK10(X0,X1,X2),X1) )
                & ( in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X2)
                  | ( in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X0)
                    & in(sK10(X0,X1,X2),X1) ) ) ) )
            & ( ! [X5,X6] :
                  ( ( ( in(ordered_pair(X6,X5),X0)
                      & in(X5,X1) )
                    | ~ in(ordered_pair(X6,X5),X2) )
                  & ( in(ordered_pair(X6,X5),X2)
                    | ~ in(ordered_pair(X6,X5),X0)
                    | ~ in(X5,X1) ) )
              | relation_rng_restriction(X1,X0) != X2 ) ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f91,f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4] :
          ( ( ~ in(ordered_pair(X4,X3),X2)
            | ~ in(ordered_pair(X4,X3),X0)
            | ~ in(X3,X1) )
          & ( in(ordered_pair(X4,X3),X2)
            | ( in(ordered_pair(X4,X3),X0)
              & in(X3,X1) ) ) )
     => ( ( ~ in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X2)
          | ~ in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X0)
          | ~ in(sK10(X0,X1,X2),X1) )
        & ( in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X2)
          | ( in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X0)
            & in(sK10(X0,X1,X2),X1) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( relation_rng_restriction(X1,X0) = X2
              | ? [X3,X4] :
                  ( ( ~ in(ordered_pair(X4,X3),X2)
                    | ~ in(ordered_pair(X4,X3),X0)
                    | ~ in(X3,X1) )
                  & ( in(ordered_pair(X4,X3),X2)
                    | ( in(ordered_pair(X4,X3),X0)
                      & in(X3,X1) ) ) ) )
            & ( ! [X5,X6] :
                  ( ( ( in(ordered_pair(X6,X5),X0)
                      & in(X5,X1) )
                    | ~ in(ordered_pair(X6,X5),X2) )
                  & ( in(ordered_pair(X6,X5),X2)
                    | ~ in(ordered_pair(X6,X5),X0)
                    | ~ in(X5,X1) ) )
              | relation_rng_restriction(X1,X0) != X2 ) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f90]) ).

fof(f90,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( relation_rng_restriction(X0,X1) = X2
              | ? [X3,X4] :
                  ( ( ~ in(ordered_pair(X4,X3),X2)
                    | ~ in(ordered_pair(X4,X3),X1)
                    | ~ in(X3,X0) )
                  & ( in(ordered_pair(X4,X3),X2)
                    | ( in(ordered_pair(X4,X3),X1)
                      & in(X3,X0) ) ) ) )
            & ( ! [X3,X4] :
                  ( ( ( in(ordered_pair(X4,X3),X1)
                      & in(X3,X0) )
                    | ~ in(ordered_pair(X4,X3),X2) )
                  & ( in(ordered_pair(X4,X3),X2)
                    | ~ in(ordered_pair(X4,X3),X1)
                    | ~ in(X3,X0) ) )
              | relation_rng_restriction(X0,X1) != X2 ) ) )
      | ~ relation(X1) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( relation_rng_restriction(X0,X1) = X2
              | ? [X3,X4] :
                  ( ( ~ in(ordered_pair(X4,X3),X2)
                    | ~ in(ordered_pair(X4,X3),X1)
                    | ~ in(X3,X0) )
                  & ( in(ordered_pair(X4,X3),X2)
                    | ( in(ordered_pair(X4,X3),X1)
                      & in(X3,X0) ) ) ) )
            & ( ! [X3,X4] :
                  ( ( ( in(ordered_pair(X4,X3),X1)
                      & in(X3,X0) )
                    | ~ in(ordered_pair(X4,X3),X2) )
                  & ( in(ordered_pair(X4,X3),X2)
                    | ~ in(ordered_pair(X4,X3),X1)
                    | ~ in(X3,X0) ) )
              | relation_rng_restriction(X0,X1) != X2 ) ) )
      | ~ relation(X1) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( relation_rng_restriction(X0,X1) = X2
          <=> ! [X3,X4] :
                ( ( in(ordered_pair(X4,X3),X1)
                  & in(X3,X0) )
              <=> in(ordered_pair(X4,X3),X2) ) ) )
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X1,X0] :
      ( relation(X1)
     => ! [X2] :
          ( relation(X2)
         => ( relation_rng_restriction(X0,X1) = X2
          <=> ! [X3,X4] :
                ( ( in(ordered_pair(X4,X3),X1)
                  & in(X3,X0) )
              <=> in(ordered_pair(X4,X3),X2) ) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ! [X2] :
          ( relation(X2)
         => ( ! [X4,X3] :
                ( ( in(X4,X0)
                  & in(ordered_pair(X3,X4),X1) )
              <=> in(ordered_pair(X3,X4),X2) )
          <=> relation_rng_restriction(X0,X1) = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).

fof(f188,plain,
    ( relation(relation_rng_restriction(sK4,sK5))
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl14_2
  <=> relation(relation_rng_restriction(sK4,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f200,plain,
    spl14_2,
    inference(avatar_contradiction_clause,[],[f199]) ).

fof(f199,plain,
    ( $false
    | spl14_2 ),
    inference(subsumption_resolution,[],[f197,f115]) ).

fof(f197,plain,
    ( ~ relation(sK5)
    | spl14_2 ),
    inference(resolution,[],[f189,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X1,X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_rng_restriction(X1,X0)) ),
    inference(rectify,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0] :
      ( ~ relation(X1)
      | relation(relation_rng_restriction(X0,X1)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X0] :
      ( relation(X1)
     => relation(relation_rng_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).

fof(f189,plain,
    ( ~ relation(relation_rng_restriction(sK4,sK5))
    | spl14_2 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f196,plain,
    ( ~ spl14_2
    | ~ spl14_3 ),
    inference(avatar_split_clause,[],[f191,f193,f187]) ).

fof(f191,plain,
    ( ~ in(unordered_pair(unordered_pair(sK7(relation_rng_restriction(sK4,sK5),sK5),sK6(relation_rng_restriction(sK4,sK5),sK5)),singleton(sK7(relation_rng_restriction(sK4,sK5),sK5))),sK5)
    | ~ relation(relation_rng_restriction(sK4,sK5)) ),
    inference(subsumption_resolution,[],[f180,f115]) ).

fof(f180,plain,
    ( ~ in(unordered_pair(unordered_pair(sK7(relation_rng_restriction(sK4,sK5),sK5),sK6(relation_rng_restriction(sK4,sK5),sK5)),singleton(sK7(relation_rng_restriction(sK4,sK5),sK5))),sK5)
    | ~ relation(sK5)
    | ~ relation(relation_rng_restriction(sK4,sK5)) ),
    inference(resolution,[],[f116,f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | subset(X0,X1)
      | ~ in(unordered_pair(unordered_pair(sK7(X0,X1),sK6(X0,X1)),singleton(sK7(X0,X1))),X1) ),
    inference(definition_unfolding,[],[f119,f101]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X1)
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2,X3] :
                  ( ~ in(ordered_pair(X3,X2),X0)
                  | in(ordered_pair(X3,X2),X1) )
              | ~ subset(X0,X1) )
            & ( subset(X0,X1)
              | ( in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
                & ~ in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X1) ) ) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f80,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ? [X4,X5] :
          ( in(ordered_pair(X5,X4),X0)
          & ~ in(ordered_pair(X5,X4),X1) )
     => ( in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
        & ~ in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2,X3] :
                  ( ~ in(ordered_pair(X3,X2),X0)
                  | in(ordered_pair(X3,X2),X1) )
              | ~ subset(X0,X1) )
            & ( subset(X0,X1)
              | ? [X4,X5] :
                  ( in(ordered_pair(X5,X4),X0)
                  & ~ in(ordered_pair(X5,X4),X1) ) ) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X3,X2] :
                  ( ~ in(ordered_pair(X2,X3),X0)
                  | in(ordered_pair(X2,X3),X1) )
              | ~ subset(X0,X1) )
            & ( subset(X0,X1)
              | ? [X3,X2] :
                  ( in(ordered_pair(X2,X3),X0)
                  & ~ in(ordered_pair(X2,X3),X1) ) ) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X3,X2] :
                ( ~ in(ordered_pair(X2,X3),X0)
                | in(ordered_pair(X2,X3),X1) )
          <=> subset(X0,X1) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ( ! [X3,X2] :
                ( in(ordered_pair(X2,X3),X0)
               => in(ordered_pair(X2,X3),X1) )
          <=> subset(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_relat_1) ).

fof(f116,plain,
    ~ subset(relation_rng_restriction(sK4,sK5),sK5),
    inference(cnf_transformation,[],[f78]) ).

fof(f190,plain,
    ( spl14_1
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f181,f187,f183]) ).

fof(f181,plain,
    ( ~ relation(relation_rng_restriction(sK4,sK5))
    | in(unordered_pair(unordered_pair(sK7(relation_rng_restriction(sK4,sK5),sK5),sK6(relation_rng_restriction(sK4,sK5),sK5)),singleton(sK7(relation_rng_restriction(sK4,sK5),sK5))),relation_rng_restriction(sK4,sK5)) ),
    inference(subsumption_resolution,[],[f178,f115]) ).

fof(f178,plain,
    ( ~ relation(sK5)
    | in(unordered_pair(unordered_pair(sK7(relation_rng_restriction(sK4,sK5),sK5),sK6(relation_rng_restriction(sK4,sK5),sK5)),singleton(sK7(relation_rng_restriction(sK4,sK5),sK5))),relation_rng_restriction(sK4,sK5))
    | ~ relation(relation_rng_restriction(sK4,sK5)) ),
    inference(resolution,[],[f116,f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( in(unordered_pair(unordered_pair(sK7(X0,X1),sK6(X0,X1)),singleton(sK7(X0,X1))),X0)
      | ~ relation(X0)
      | ~ relation(X1)
      | subset(X0,X1) ),
    inference(definition_unfolding,[],[f120,f101]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEU199+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:59:00 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.50  % (15456)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51  % (15452)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51  % (15460)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (15476)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52  % (15461)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52  % (15468)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (15457)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52  % (15475)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52  % (15453)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (15454)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (15459)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (15454)Instruction limit reached!
% 0.19/0.52  % (15454)------------------------------
% 0.19/0.52  % (15454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (15454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (15454)Termination reason: Unknown
% 0.19/0.52  % (15454)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (15454)Memory used [KB]: 1407
% 0.19/0.52  % (15454)Time elapsed: 0.002 s
% 0.19/0.52  % (15454)Instructions burned: 3 (million)
% 0.19/0.52  % (15454)------------------------------
% 0.19/0.52  % (15454)------------------------------
% 0.19/0.53  % (15453)Refutation not found, incomplete strategy% (15453)------------------------------
% 0.19/0.53  % (15453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15474)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (15462)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53  % (15479)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (15455)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (15462)First to succeed.
% 0.19/0.53  % (15472)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.53  % (15456)Instruction limit reached!
% 0.19/0.53  % (15456)------------------------------
% 0.19/0.53  % (15456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15456)Termination reason: Unknown
% 0.19/0.53  % (15456)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (15456)Memory used [KB]: 6140
% 0.19/0.53  % (15456)Time elapsed: 0.126 s
% 0.19/0.53  % (15456)Instructions burned: 14 (million)
% 0.19/0.53  % (15456)------------------------------
% 0.19/0.53  % (15456)------------------------------
% 0.19/0.53  % (15465)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53  % (15481)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53  % (15472)Refutation not found, incomplete strategy% (15472)------------------------------
% 0.19/0.53  % (15472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15471)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (15468)Instruction limit reached!
% 0.19/0.53  % (15468)------------------------------
% 0.19/0.53  % (15468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15462)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (15462)------------------------------
% 0.19/0.53  % (15462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15462)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (15462)Memory used [KB]: 6012
% 0.19/0.53  % (15462)Time elapsed: 0.127 s
% 0.19/0.53  % (15462)Instructions burned: 5 (million)
% 0.19/0.53  % (15462)------------------------------
% 0.19/0.53  % (15462)------------------------------
% 0.19/0.53  % (15447)Success in time 0.18 s
%------------------------------------------------------------------------------